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There is no such right triangle.

You have defined the relationship between three sides of a triangle that does not have a 90 degree angle.

In a right triangle the sum of the squares of the shorter sides equals the square of the longest side and 12 + 22 = 5 ; 42 = 16 it does not equal 5

The angles in a triangle with sides 1, 2, 4 units can be found by applying the cosine rule.

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